The chiper suites weblogic server can use, can be defined in the config.xml file of the Weblogic Server under the ssl section as follows:

<ssl>
<enabled>true</enabled>
<ciphersuite>TLS_RSA_WITH_RC4_128_SHA</ciphersuite>
<ciphersuite>TLS_RSA_WITH_RC4_128_MD5</ciphersuite>
<hostname-verification-ignored>true</hostname-verification-ignored>
<listen-port>7001</listen-port>
</ssl>